The measured thermo-mechanical properties of these materials were used to develop high temperature constitutive models for implementation in finite element thermal structural analysis of hypersonic structures.
Numerical implementation of constitutive laws involves specific incremental methods.
Furthermore, the details of the constitutive models and their implementation into VecTor2 software have been described by Vecchio (2000).
They represent a useful source of information for the implementation of constitutive equations and parameters in design-oriented reduced compartmental models.
As an example of the use of the constitutive model and its implementation, one application is presented: it is a chilled pipeline causing a drop in the ground temperature leading to frost heave.
Finally, we present the validation of the constitutive model, by its implementation into the finite element code SYSTUS and the numerical simulation of the response of a double edge notched tensile (DENT) specimen.
This technique is made possible by a multi-scale implementation of the constitutive compatibility method.
Furthermore the numerical implementation of the constitutive equations into a finite element program is briefly described.
The closed-form expressions derived for such a constitutive law allow for its implementation into a f.e.m-based numerical procedure.
In addition, thermodynamic consistency of the model will be proved, and the numerical implementation of the constitutive equations into a finite-element program is described.
